3841
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 191
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3652
- Möbius Function
- 1
- Radical
- 3841
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of cubic Hamiltonian graphs with 2n nodes.at n=6A001186
- Number of intersections of diagonals in the interior of a regular n-gon.at n=19A006561
- Reve's puzzle: number of moves needed to solve the Towers of Hanoi puzzle with 4 pegs and n disks, according to the Frame-Stewart algorithm.at n=44A007664
- Coordination sequence T2 for Zeolite Code YUG.at n=40A008248
- Prefix (or Levenshtein) codes for natural numbers.at n=17A010097
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=5A020413
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2nd elementary symmetric function of 2,3,...,n+4)).at n=17A024181
- a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2).at n=20A026037
- Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026703.at n=4A027255
- Concatenation of n and n + 3.at n=37A032608
- Numbers whose set of base-15 digits is {1,2}.at n=18A032935
- Multiplicity of highest weight (or singular) vectors associated with character chi_73 of Monster module.at n=41A034461
- Coordination sequence T10 for Zeolite Code STT.at n=41A038422
- Numerators of continued fraction convergents to sqrt(392).at n=4A041744
- Denominators of continued fraction convergents to sqrt(958).at n=9A042855
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=18A045246
- Generalized Pellian with second term equal to 9.at n=8A048696
- Array T(n,k) = number of subgroups of index k in free group of rank n, read by antidiagonals.at n=23A049290
- Number of subgroups of index 3 in free group of rank n+1.at n=4A049294
- Concatenate "n" and "nextprime(n)".at n=37A049852